Template:Example: Weibull Distribution Interval Data Example

Weibull Distribution Interval Data Example

Suppose that we have run an experiment with eight units being tested and the following is a table of their last inspection times and times-to-failure:

{| border="1"

| align="center" style="background:#f0f0f0;"|Data Point Index | align="center" style="background:#f0f0f0;"|Last Inspection | align="center" style="background:#f0f0f0;"|Time to Failure |- | 1||30||32 |- | 2||32||35 |- | 3||35||37 |- | 4||37||40 |- | 5||42||42 |- | 6||45||45 |- | 7||50||50 |- | 8||55||55 |- |

|}

Analyze the data using several different parameter estimation techniques and compare the results.

Solution to Weibull Distribution Example 12

This data set can be entered into Weibull++ by opening a new Data Folio and choosing Times-to-failure and My data set contains interval and/or left censored data.

The data is entered as follows,

The computed parameters using maximum likelihood are:

using RRX or rank regression on X:

and using RRY or rank regression on Y:

The plot of the MLE solution with the two-sided 90% confidence bounds is: